219816 has 48 divisors (see below), whose sum is σ = 617760. Its totient is φ = 70560.

The previous prime is 219809. The next prime is 219823. The reversal of 219816 is 618912.

219816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (219809) and next prime (219823).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 219816.

It is a congruent number.

It is an unprimeable number.

219816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3061 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2²¹⁹⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

219816 is an abundant number, since it is smaller than the sum of its proper divisors (397944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219816 is a wasteful number, since it uses less digits than its factorization.

219816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 219816 is about 468.8453902941. The cubic root of 219816 is about 60.3512727772.

It can be divided in two parts, 219 and 816, that added together give a triangular number (1035 = T₄₅).

The spelling of 219816 in words is "two hundred nineteen thousand, eight hundred sixteen".